Anyone know the formula used to control the movement of a simple tank-like vehicle?
To \'steer\' it, you need to alter the force applied the left and right \"wheels\
I'd say you're thinking about it in the wrong way.
Increasing the difference in speed between the two treads doesn't cause degrees of turn - they, combined with time (distance at different speed) cause degrees of turn.
The more of a difference in tread speed, the less time needed to achieve X degrees of turn.
So, in order to come up with a formula, you'll have to make a few assumptions. Either turn at a fixed rate, and use time as your variable for turning X degrees, or set a fixed amount of time to complete a turn, and use the track speed difference as your variable.